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arXiv · 1404.4886

Macroscopic models of collective motion with repulsion

Pierre Degond·Giacomo Dimarco·Thi Bich Ngoc Mac·Nan Wang
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Abstract

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is continuously aligned to that of the neighbors, up to some noise. A continuum model is derived starting from a mean-field kinetic description of the particle system. It leads to a set of non conservative hydrodynamic equations. We provide a numerical validation of the continuum model by comparison with the particle model. We also provide comparisons with other self-propelled particle models with alignment and repulsion.

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Pierre Degond, Giacomo Dimarco, Thi Bich Ngoc Mac, Nan Wang. 2014-04-18. Macroscopic models of collective motion with repulsion. https://arxiv.org/abs/1404.4886

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